345027097800 has 1344 divisors, whose sum is σ = 1523661586560. Its totient is φ = 70543872000.

The previous prime is 345027097787. The next prime is 345027097813. The reversal of 345027097800 is 8790720543.

345027097800 is a `hidden beast` number, since 3 + 4 + 502 + 70 + 9 + 78 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (345027097787) and next prime (345027097813).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 819541590 + ... + 819542010.

Almost surely, 2^345027097800 is an apocalyptic number.

345027097800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345027097800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761830793280).

345027097800 is an abundant number, since it is smaller than the sum of its proper divisors (1178634488760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345027097800 is a wasteful number, since it uses less digits than its factorization.

345027097800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 345027097800 in words is "three hundred forty-five billion, twenty-seven million, ninety-seven thousand, eight hundred".